67AC hexadecimal to binary

Here we will show you how to convert the hexadecimal number 67AC to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert 67AC from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 67AC by 16⁰, multiply the second to last digit in 67AC by 16¹, multiply the third to last digit in 67AC by 16², multiply the fourth to last digit in 67AC by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
A × 16¹ = 160
7 × 16² = 1792
6 × 16³ = 24576

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

12 + 160 + 1792 + 24576 = 26540

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

26540 ÷ 2 = 13270 with 0 remainder
13270 ÷ 2 = 6635 with 0 remainder
6635 ÷ 2 = 3317 with 1 remainder
3317 ÷ 2 = 1658 with 1 remainder
1658 ÷ 2 = 829 with 0 remainder
829 ÷ 2 = 414 with 1 remainder
414 ÷ 2 = 207 with 0 remainder
207 ÷ 2 = 103 with 1 remainder
103 ÷ 2 = 51 with 1 remainder
51 ÷ 2 = 25 with 1 remainder
25 ÷ 2 = 12 with 1 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to 67AC hexadecimal to binary:

67AC hexadecimal = 110011110101100 binary

Hexadecimal to Binary Converter
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